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1053124400 = 245219138569
BaseRepresentation
bin111110110001010…
…110011100110000
32201101122021002102
4332301112130300
54124044440100
6252300035532
735045260346
oct7661263460
92641567072
101053124400
114a0508a49
12254832ba8
1313a24a743
149dc19996
15626c6cd5
hex3ec56730

1053124400 has 60 divisors (see below), whose sum is σ = 2663315400. Its totient is φ = 399075840.

The previous prime is 1053124393. The next prime is 1053124417. The reversal of 1053124400 is 44213501.

It is a super-2 number, since 2×10531244002 = 2218142003750720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61685 + ... + 76884.

It is an arithmetic number, because the mean of its divisors is an integer number (44388590).

Almost surely, 21053124400 is an apocalyptic number.

1053124400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1053124400 is an abundant number, since it is smaller than the sum of its proper divisors (1610191000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1053124400 is a wasteful number, since it uses less digits than its factorization.

1053124400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138606 (or 138595 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 1053124400 is about 32451.8782199120. The cubic root of 1053124400 is about 1017.4034946414.

Adding to 1053124400 its reverse (44213501), we get a palindrome (1097337901).

The spelling of 1053124400 in words is "one billion, fifty-three million, one hundred twenty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 152 190 200 304 380 400 475 760 950 1520 1900 3800 7600 138569 277138 554276 692845 1108552 1385690 2217104 2632811 2771380 3464225 5265622 5542760 6928450 10531244 11085520 13164055 13856900 21062488 26328110 27713800 42124976 52656220 55427600 65820275 105312440 131640550 210624880 263281100 526562200 1053124400